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Finding the Third Proportional to 374,075 and 580,410

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Solution

The third proportional to 374,075 and 580,410 is: 900,556.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,075 : 580,410 = 580,410 : x
  2. Step 2: Convert to fraction form
    374,075/580,410 = 580,410/x
  3. Step 3: Cross multiply
    374,075x = 580,410 × 580,410
  4. Step 4: Simplify right side
    374,075x = 336,875,768,100
  5. Step 5: Solve for x
    x = 336,875,768,100/374,075
  6. Step 6: Final answer
    x = 900,556.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.